Obtain Two Zeroes

题意翻译

给你两个正整数a,b。 你可以对他们两个进行2种操作： #### ①a=a-x,b=b-2*x (x>0) #### ②a=a-2*x,b=b-x(x>0) 求是否有一种方式能使得a,b同时等于0

题目描述

You are given two integers $ a $ and $ b $ . You may perform any number of operations on them (possibly zero). During each operation you should choose any positive integer $ x $ and set $ a := a - x $ , $ b := b - 2x $ or $ a := a - 2x $ , $ b := b - x $ . Note that you may choose different values of $ x $ in different operations. Is it possible to make $ a $ and $ b $ equal to $ 0 $ simultaneously? Your program should answer $ t $ independent test cases.

输入输出格式

输入格式

The first line contains one integer $ t $ ( $ 1 \le t \le 100 $ ) — the number of test cases. Then the test cases follow, each test case is represented by one line containing two integers $ a $ and $ b $ for this test case ( $ 0 \le a, b \le 10^9 $ ).

输出格式

For each test case print the answer to it — YES if it is possible to make $ a $ and $ b $ equal to $ 0 $ simultaneously, and NO otherwise. You may print every letter in any case you want (so, for example, the strings yEs, yes, Yes and YES will all be recognized as positive answer).

输入输出样例

输入样例 #1

3
6 9
1 1
1 2

输出样例 #1

YES
NO
YES

说明

In the first test case of the example two operations can be used to make both $ a $ and $ b $ equal to zero: 1. choose $ x = 4 $ and set $ a := a - x $ , $ b := b - 2x $ . Then $ a = 6 - 4 = 2 $ , $ b = 9 - 8 = 1 $ ; 2. choose $ x = 1 $ and set $ a := a - 2x $ , $ b := b - x $ . Then $ a = 2 - 2 = 0 $ , $ b = 1 - 1 = 0 $ .